A projectile is thrown upward so that its distance above the ground after t seconds is h = -16t2 + 672t. After how many seconds does it reach its maximum height?
21 s
31.5 s
42 s
10 s
help me please and show work
1
Expert's answer
2014-06-03T13:44:49-0400
The equation of parabola h=at2+bt+c is in a standard form. The vertex of parabola is either the maximum or minimum value of parabola. In this problem a=-16<0, that is why we deal with the maximum value of parabola.The t-coordinate of the vertex can be found by the formula t0= -b/(2a)=-672/(2*(-16))=21 (s). Answer: the projectile reach its maximum height after 21 s.
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